Common fixed point theorems satisfying integral type rational contractive conditions and applications

Common Fixed Point Theorems Satisfying Integral Type Rational Contractive Conditions and Applications

Inspired by the concept of integral type (Branciari type) contractive condition and respective fixed point results, we derive some new common fixed point theorems for quadruple self mappings satisfying a generalized W -contractive condition or a generalized -contractive condition of integral type, also using the notions of compatibility and subsequential continuity (alternately subcompatibility...

Common coupled fixed point theorems satisfying rational type contractive conditions in b-metric spaces

In this article, existence and uniqueness of common coupled fixed point for a pair of mappings in the setup of complete b-metric spaces are studied. The derived result generalizes and extends some well known results from the existing literature in b-metric spaces. Appropriate example is also given.

$C$-class Functions and Common Fixed Point Theorems Satisfying $varphi $-weakly Contractive Conditions

In this paper, we discuss and extend some recent common fixed point results established by using $varphi-$weakly contractive mappings. A very important step in the development of the fixed point theory was given by A.H. Ansari by the introduction of a $C-$class function. Using $C-$class functions, we generalize some known fixed point results. This type of functions is a very important class of ...

Some Common Fixed Point Theorems for Mappings Satisfying a General Contractive Condition of Integral Type

Banach contraction principle is a fundamental result in fixed point theory and has been applied and extended in many different directions. In 2002, Branciari [3] obtained a fixed point theorem for a single mapping satisfying an analogue of Banach’s contraction principle for an integral type inequality. Aliouche [2] established a common fixed point theorem for weakly compatible mappings in symme...

Some Fixed Point Theorems for Weakly Compatible Multivalued Mappings Satisfying Some General Contractive Conditions of Integral Type